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Finding the Fourth Proportional to 5,322.28, 7,980.54 and 1,859.08

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Solution

The fourth proportional to 5,322.28, 7,980.54 and 1,859.08 is: 2,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.28 : 7,980.54 = 1,859.08 : x
  2. Step 2: Convert to fraction form
    5,322.28/7,980.54 = 1,859.08/x
  3. Step 3: Cross multiply
    5,322.28x = 7,980.54 × 1,859.08
  4. Step 4: Simplify right side
    5,322.28x = 14,836,462.30
  5. Step 5: Solve for x
    x = 14,836,462.30/5,322.28
  6. Step 6: Final answer
    x = 2,787.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.